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Finding the Third Proportional to 151,276 and 211,988

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Solution

The third proportional to 151,276 and 211,988 is: 297,065.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,276 : 211,988 = 211,988 : x
  2. Step 2: Convert to fraction form
    151,276/211,988 = 211,988/x
  3. Step 3: Cross multiply
    151,276x = 211,988 × 211,988
  4. Step 4: Simplify right side
    151,276x = 44,938,912,144
  5. Step 5: Solve for x
    x = 44,938,912,144/151,276
  6. Step 6: Final answer
    x = 297,065.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.